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Simplifying 24a + -22 = -41(1 + -6a) Reorder the terms: -22 + 24a = -41(1 + -6a) -22 + 24a = (1 * -41 + -6a * -41) -22 + 24a = (-41 + 246a) Solving -22 + 24a = -41 + 246a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-246a' to each side of the equation. -22 + 24a + -246a = -41 + 246a + -246a Combine like terms: 24a + -246a = -222a -22 + -222a = -41 + 246a + -246a Combine like terms: 246a + -246a = 0 -22 + -222a = -41 + 0 -22 + -222a = -41 Add '22' to each side of the equation. -22 + 22 + -222a = -41 + 22 Combine like terms: -22 + 22 = 0 0 + -222a = -41 + 22 -222a = -41 + 22 Combine like terms: -41 + 22 = -19 -222a = -19 Divide each side by '-222'. a = 0.08558558559 Simplifying a = 0.08558558559
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